The number of scores in a data set is also called the total frequency. The number of scores in a data set is simply how many numbers there are written down. For example, if you survey $40$40 people, then you will have $40$40 scores in your data set.

To find the number of scores in a set, we simply have to count all the scores in our set. For example, if we had the numbers $17$17, $19$19 and $22$22 in a data set, we could count the scores and say that the number of scores (or the total frequency) is $3$3 because there are three numbers in the set.

Worked Examples

Question 1

MsBarnett has just marked a set of homework. The scores she gave were:

$99,26,36,31,2$99,26,36,31,2

How many pieces of homework did MsBarnett mark?

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QUESTION 2

Aaron has been recording the number of goals he has scored in soccer matches so far this year.

$1,2,4,2,3,4,2,2,1,3,2$1,2,4,2,3,4,2,2,1,3,2

How many soccer games has Aaron played so far this year?

What is the total number of goals Aaron scored in all matches?

QUESTION 3

A teacher has marked a set of tests and put the scores of her class into the table below.

Score

Frequency

$26$26

$13$13

$27$27

$8$8

$28$28

$2$2

$29$29

$19$19

$30$30

$5$5

How many students took the test?

QUESTION 4

The frequency polygon below shows the scores awarded to a mathletes team during several recent competitions.

How many competitions have the mathletes team taken part in recently?